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Finding the Fourth Proportional to 52.13, 71.98 and 51.12

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Solution

The fourth proportional to 52.13, 71.98 and 51.12 is: 70.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 71.98 = 51.12 : x
  2. Step 2: Convert to fraction form
    52.13/71.98 = 51.12/x
  3. Step 3: Cross multiply
    52.13x = 71.98 × 51.12
  4. Step 4: Simplify right side
    52.13x = 3,679.49
  5. Step 5: Solve for x
    x = 3,679.49/52.13
  6. Step 6: Final answer
    x = 70.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.